Vertex Corrections and the Korringa Ratio in Strongly Correlated Electron Materials

Abstract

We show that the Korringa ratio, associated with nuclear magnetic resonance in metals, is unity if vertex corrections for the dynamic spin susceptibility are negligible and the hyperfine coupling is momentum independent. In the absence of vertex corrections we also find a Korringa behaviour for $T_1$, the nuclear spin relaxation rate, i.e., $1/T_1\propto T$, and a temperature independent Knight shift. These results are independent of the form and magnitude of the self-energy (so far as is consistent with neglecting vertex corrections) and of the dimensionality of the system.

arXiv comment5 pages. accepted for publication in J. Phys.: Condens. Matter

References in corpus (8)

• Strong electronic correlations in superconducting organic charge transfer salts
• What Does The Korringa Ratio Measure?
• Electronic Correlations in CoO2, the Parent Compound of Triangular Cobaltates
• Antiferromagnetic Spin Fluctuations and the Pseudogap in the Paramagnetic Phases of Quasi-Two-Dimensional Organic Superconductors
• Antiferromagnetic Spin Fluctuations in the Metallic Phase of Quasi-Two-Dimensional Organic Superconductors
• Contrasting Dynamic Spin Susceptibility Models and their Relation to High Temperature Superconductivity
• Dynamic spin-response function of the high-temperature Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ superconductor form angle resolved photoemission spectra
• A Vertex Correction in the Gap Equation for the High Temperature Superconductors

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• Quantum critical local spin dynamics near the Mott metal-insulator transition in infinite dimensions
• Fate of the Hebel-Slichter peak in superconductors with strong antiferromagnetic fluctuations
• Nuclear Magnetic Resonance in Low-Symmetry Superconductors